Interpolate Matrix(x)

Return interpolated matrix for given input

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Libraries:
Aerospace Blockset / GNC / Control

Description

The Interpolate Matrix(x) block interpolates a one-dimensional array of matrices. The block assumes a one-dimensional array as defined in Algorithms.

The matrix to be interpolated must be three dimensional, the first two dimensions corresponding to the matrix at each value of x. For example, if you have three matrices A, B, and C defined at x = 0, x = 0.5, and x = 1.0, then the input matrix is given by

matrix(:,:,1) = A;

matrix(:,:,2) = B;

matrix(:,:,3) = C;

Limitations

This block must be driven from the Prelookup block.

Ports

Input

x_k — Interpolation index i

scalar

Interpolation index i, specified as a scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

x_f — Interpolation fraction

scalar

Interpolation fraction λ, specified as a scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

Output

Matrix(x) — Interpolated matrix

matrix

Interpolated matrix, specified as a matrix.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

Parameters

Matrix to interpolate — Matrix

matrix (default)

Matrix to be interpolated, with three indices and the third index labeling the interpolating values of x.

Programmatic Use

Block Parameter: matrix

Type: character vector

Values: matrix

Default: 'matrix'

Algorithms

This one-dimensional case assumes a matrix M is defined at a discrete number of values of an independent variable

x = [ x₁x₂x₃ ... x_ix_i+1 ... x_n ].

Then for x_i < x < x_i+1, the block output is given by

$$(1-\lambda )M(x_i)+\lambda M(x_{i+1})$$

where the interpolation fraction is defined as

$$\lambda =\left(x-x_i\right)/\left(x_{i+1}-x_i\right)$$

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a